{"paper":{"title":"On the structure of the conformal higher-spin wave operators","arxiv_id":"1808.04320","primary_cat":"hep-th","submitted_at":"2018-08-13T16:24:30+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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s$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.81,"quantitative":false,"quantitative_p":0.42,"role_probabilities":{"gap":0.0,"method":0.12,"result":0.4,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.48,"interpretation":0.0}},{"i":2,"p":0.64,"id":"s2","own":true,"role":"gap","text":"In the case of the usual Fradkin-Tseytlin fields $t=1$ this gives a systematic derivation of the factorization formulas known in the literature while for $t>1$ the explicit formulas were not known.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.53,"main_claim_p":0.18,"quantitative":true,"quantitative_p":0.88,"role_probabilities":{"gap":0.64,"method":0.0,"result":0.15,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.17}},{"i":3,"p":0.79,"id":"s3","own":true,"role":"result","text":"We also relate the gauge invariance of the CHS fields to the partially-fixed gauge invariance of the factors and show that the factors can be identified with (partially gauge-fixed) wave operators for (partially)-massless or special massive fields.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.24,"quantitative":false,"quantitative_p":0.17,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.79,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.04,"interpretation":0.17}},{"i":4,"p":0.62,"id":"s4","own":true,"role":"result","text":"As a byproduct, we establish a detailed relationship with the tractor approach and, in particular, derive the tractor form of the CHS equations and gauge symmetries.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.62,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.38,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":1.0,"text":"By employing parent formulation technique in combination with tractor description of 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